Jada and Priya are trying to solve the equation 2/3+x=4
Jada says, “I think we should multiply each side by 3/2 because that is the reciprocal of 2/3."
Priya says, “I think we should add -2/3 to each side because that is the opposite of 2/3."
1. Which person's strategy should they use?
2. Explain your reasoning.

Answer:

x = 21

Step-by-step explanation:

5x + 18 = 7x - 24

=> 5x - 7x = - 24 - 18

=> -2x = - 42

=> x = -42 / -2

=> x = 21

Hope it helps :)

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Answer:

CD = [tex]\sqrt{164}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C(5, - 2) and (x₂, y₂ ) = (D(- 3, 8)

d = [tex]\sqrt{(-3-5)^2+(8+2)^2}[/tex]

   = [tex]\sqrt{(-8)^2+10^2}[/tex]

    = [tex]\sqrt{64+100}[/tex]

    = [tex]\sqrt{164}[/tex]

     = 2[tex]\sqrt{41}[/tex] ← in simplest form

As, we have C (5, - 2) and D (- 3, 8), to find CD let's use distance formula :

[tex] \underline{\boxed{\tt{Distance \: between \: two \: points = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}}}}[/tex]

Here,

So, by filling values :

[tex] \sf : \implies CD = \sqrt{(-3 - 5)^{2} + (8 - (-2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{(-8)^{2} + (8 +2))^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + (10)^{2}}[/tex]

[tex] \sf : \implies CD = \sqrt{64 + 100}[/tex]

[tex] \sf : \implies CD = \sqrt{164}[/tex]

Hence, distance of CD is [tex] \bold{\sf \sqrt{164}.}[/tex]

The ratio is 24:1000 or 0.024.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

72 millimeters to 3 meters

Now, Convert 3 meter to millimeter

3 meter= 3 x 1000

             = 3000 mm

Then, ratio is

= 72 / 3000

= 24/1000

= 0.024

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Answer: 2d³+11d²+19d+10

Step-by-step explanation:

Use the FOIl method to simplify this

-------------------------------------------------------------------

 (5+2d)(2+3d+d²)

=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL

=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together

=2d³+11d²+19d+10 ⇔ Combine like terms

Hope this helps!! :)

Please let me know if you have any questions

Answer: 2d³+11d²+19d+10

Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.

You can use the given function to evaluate the expected sales at year 2009 and 2015 and use the net difference divided by time as the average rate of change.

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

Let the thing that is changing be y and the thing with which the rate is being compared is x, then we have the average rate of change of y as x changes as:

[tex]\text{Average rate} = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where when

[tex]x = x_1, y = y_1\\and \\x = x_2, y = y_2[/tex]

Since the sales is given by the function [tex]g(t) = t^3 - 2t^2 + 4t - 7[/tex], and the inputs are 2009 and 2015, thus, evaluating g(t) (sales) at those values of t, we get:

[tex]g(2009) = 8023737057[/tex] (replaced 2009 with t and calculated)

[tex]g(2015) = 8096096703[/tex] (replaced 2015 with t and calculated)

Using these values to calculate the average rate

[tex]\text{average rate} = \dfrac{g(2015) - g(2009)}{2015 - 2009} = \dfrac{72359646}{6} = 12059941\\[/tex]

Thus,

The average rate of change in expected sales from 2009 to 2015 is given by $12,059,941

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Answer:

steps below

Step-by-step explanation:

3x² + 9x + 4x + 12 = 3x² + 13x +12 = (x+3)(3x+4)

if 3x² + 9x + 4x + 12 = 0    x = -3 or x = - 4/3

Answer:

C

Step-by-step explanation:

I took the test

Answer:

No, I think and yes.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

no cap

Answer:

-1/6f

Step-by-step explanation:

-f+1/6uA=4=

Answer:

The equation is -3n-5=-2. The answer is -1.

Answer:

the answer is 85° because all angles in a triangle add up to 180

so u add them both up, subtract from 180 n u get 85

Answer:

C because a triangle angles must add up to 180

Answer:

88

Step-by-step explanation:

400*0.22=88

Answer:

$14.98

Step-by-step explanation:

The store bought the pair of shoes for $42.80.

If the store sells the pair of shoes at a 35% markup, then it is selling it at:

([tex]\frac{35}{100}[/tex] × 42.80 ) + 42.80 = 14.98 + 42.80 = $ 57.78

To calculate how much money the store is making from selling this pair of shoes:

57.78 - 42.80 = $14.98

The store would be making $14.98 for selling one pair of shoes to a customer.

Answer:

D. Kari added the compatible numbers –12 and 4.

Step-by-step explanation:

Kari estimated the quotient of Negative 12 and one-fifth divided by 4 and two-fifths to be –8. Which best describes her error?

-12 1/5 ÷ 4 2/5 = -8

A. Kari multiplied the compatible numbers –12 and 4.

-12 * 4 = 48

A. Is not correct

B. Kari found that the quotient of a negative number and a positive number is negative.

Example:

-a/a = -1

The rule is right

C. Kari found that the quotient of a positive number and a negative number is positive.

a/-a = -1

The rule is wrong

D. Kari added the compatible numbers –12 and 4.

= -12 + 4

= -8

Therefore, Kari error was that she added the compatible numbers –12 and 4.

Answer:

Monomial

Step-by-step explanation:

Monomial is only one value therefore the following value is a monomial.

[tex]-9x^2y^5[/tex]

Answer: 200,000,000 or 2 million

Step-by-step explanation:

Answer:

2 million LOL

Step-by-step explanation:

Answer:

QP = 5

Step-by-step explanation:

since QRST is a rectangle, and QRST intersect at P, then QTS and QRS are right  triangles.

because <T is a right angle, line TR passes through the midpoint of line QS, therefore 2(QP) = QS

10/2 = 5

By the property of diagonal in a rectangle are equal and bisect each other measure of QP is 5 units.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, QRST is a rectangle, QS and RT are the diagonals of the rectangle

QRST.

By properties of rectangles, we know a rectangle is a parallelogram in which opposite sides are equal and diagonals bisect each other.

Given, QS is 10 units and QS = 2QP.

10 = 2QP.

QP = 10/2.

QP = 5.

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Answer:

Solution for 17=w-4 equation:

17=w-4

We simplify the equation to the form, which is simple to understand

17=w-4

We move all terms containing w to the left and all other terms to the right.

-1w=-4-17

We simplify the left and right sides of the equation.

-1w=-21

We divide both sides of the equation by -01 to get w.

w=21

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

17/1 = w/4

w.1=17.4

w= 68

Answer:

20

Step-by-step explanation:

115+x = 135 (remote interior angles)

x = 135-115

x = 20

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Answer:

20

Step-by-step explanation:

first look at the line which says a and 135, they add up to 180 so

a + 135 =180

a= 180-135

a= 45

Then to find the x we will have to add all the angles inside the triangle which would add up to 180

So,

x+115+45=180

x+160=180

x=180-160

x=20

THEREFORE X = 20⁰

Answer:

3x - 1 = 71

3x = 72

x = 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

3x + -1 = 71

Reorder the terms:

-1 + 3x = 71

Solving

-1 + 3x = 71

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + 3x = 71 + 1

Combine like terms: -1 + 1 = 0

0 + 3x = 71 + 1

3x = 71 + 1

Combine like terms: 71 + 1 = 72

3x = 72

Divide each side by '3'.

x = 24

Simplifying

x = 24

Answer:

Side MN = 3.5

Step-by-step explanation:

Side NO  = 1.2011

Side OM = 3.3

Side MN = 3.51179

Angle ∠M = 20° = 0.34907 rad = π/9

Angle ∠N = 70° = 1.22173 rad = 7/18π

Angle ∠O = 90° = 1.5708 rad = π/2

Step-by-step explanation:

step 1. if r = 2, then its area = (pi)r^2 = (pi)(4) = 4pi

step 2. if r = 3 then its area = (pi)r^2 = (pi)(9) = 9pi

step 3. so A is the area of a circle half the sum of our circles with r = 2 and r = 3.

step 4. A = (4pi + 9pi)/2 = 13pi/2 =6.5(pi).

Answer:

-2,-1,0

Step-by-step explanation:

the integers between -3 and 1, not including -3 and 1 are

-2,-1,0